86805 has 16 divisors (see below), whose sum is σ = 154560. Its totient is φ = 46224.

The previous prime is 86783. The next prime is 86813. The reversal of 86805 is 50868.

86805 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 86805 - 2⁷ = 86677 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2⁸⁶⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

86805 is a deficient number, since it is larger than the sum of its proper divisors (67755).

86805 is a wasteful number, since it uses less digits than its factorization.

86805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 86805 is about 294.6268826838. The cubic root of 86805 is about 44.2773459239.

Subtracting from 86805 its reverse (50868), we obtain a cube (35937 = 33³).

The spelling of 86805 in words is "eighty-six thousand, eight hundred five".